grisha is analyzing a population of zigga-zoos that follows the following gompertz differential equation: dP dt 4P(17 - In P) This has an initial condition that P(0)=100. What is the value of the population when t =2? Your answer should be written symbolically. Write your answer clearly so i can understand please, i will give you a like!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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grisha is analyzing a population of zigga-zoos that follows the following gompertz differential
equation:
dP =
dt
4P(17 - In P)
This has an initial condition that P(0)=100.
What is the value of the population when t =2? Your answer should be written symbolically.
Write your answer clearly so i can understand please, i will give you a like!
Transcribed Image Text:grisha is analyzing a population of zigga-zoos that follows the following gompertz differential equation: dP = dt 4P(17 - In P) This has an initial condition that P(0)=100. What is the value of the population when t =2? Your answer should be written symbolically. Write your answer clearly so i can understand please, i will give you a like!
Expert Solution
Step 1

The given differential equation, dPdt=4P17-ln P

The initial condition is P0=100

We have to find the value of the population when t=2

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